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Finding the Fourth Proportional to 3,656.80, 5,456.48 and 3,433.65

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Solution

The fourth proportional to 3,656.80, 5,456.48 and 3,433.65 is: 5,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.80 : 5,456.48 = 3,433.65 : x
  2. Step 2: Convert to fraction form
    3,656.80/5,456.48 = 3,433.65/x
  3. Step 3: Cross multiply
    3,656.80x = 5,456.48 × 3,433.65
  4. Step 4: Simplify right side
    3,656.80x = 18,735,642.55
  5. Step 5: Solve for x
    x = 18,735,642.55/3,656.80
  6. Step 6: Final answer
    x = 5,123.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.